Sharon has some one dollar bills and some five dollar bills. She has 14 bills. The value of the bills is $30. Solve a system of equations to find how many of each kind of bill she has.
Let x be the number of one dollar bills and y be the number of five dollar bills. We can write a system of equations:
14 bills in total ==> x + y = 14 . (1)
value of bills is $30 ==> x + 5y = 30 . (2)
Multiply equation (1) by 5.
5x + 5y = 70
x + 5y = 30
We get 4x = 40, so x = 10 and y = 4. Sharon has 10 $1 bills and 4 $5 bills.